TS Chanakya, Indian Maritime University, Mumbai offers the course you are looking for.
BSc nautical science:
Eligibility: A candidate must have passed Class 12 with physics, chemistry, mathematics and English. Candidates belonging to general and OBC categories must secure at least 60% marks and SC&ST candidates must secure at least 55% marks in aggregate in the Class 12 examination. Candidates should note that, for joining the programme, normal vision of 6/6 is essential for each eye separately and those wearing glasses will not be eligible for admission.
For more details, please visit the website How to apply: Application form along with information brochure can be obtained from designated branches of Syndicate Bank all over India on payment of R1000/(general / OBC category) and R600/(in case of SC/ST category).